2305904988773 has 2 divisors, whose sum is σ = 2305904988774. Its totient is φ = 2305904988772.

The previous prime is 2305904988767. The next prime is 2305904988787. The reversal of 2305904988773 is 3778894095032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1300972922404 + 1004932066369 = 1140602^2 + 1002463^2 .

It is a cyclic number.

It is not a de Polignac number, because 2305904988773 - 2¹⁴ = 2305904972389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2305904988703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1152952494386 + 1152952494387.

It is an arithmetic number, because the mean of its divisors is an integer number (1152952494387).

Almost surely, 2^{2305904988773} is an apocalyptic number.

It is an amenable number.

2305904988773 is a deficient number, since it is larger than the sum of its proper divisors (1).

2305904988773 is an equidigital number, since it uses as much as digits as its factorization.

2305904988773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 2305904988773 in words is "two trillion, three hundred five billion, nine hundred four million, nine hundred eighty-eight thousand, seven hundred seventy-three".